(Solved):   Row reduce the matrix to reduced echelon form. Identify the pivot positions in the final m ...

 

Row reduce the matrix to reduced echelon form. Identify the pivot positions in the final matrix and in the original matrix, and list the pivot columns. \[ \left[\begin{array}{llll} 1 & 2 & 3 & 4 \\ 3 & 4 & 5 & 6 \\ 5 & 6 & 7 & 8 \end{array}\right] \] Row reduce the matrix to reduced echelon form and identify the pivot positions in the final matrix. The pivot positions are indicated by bold values. Choose the correct answer below. A. \( \left[\begin{array}{rrrr}1 & 0 & -1 & -2 \\ 0 & 1 & 2 & 3 \\ 0 & 0 & 0 & 0\end{array}\right] \) \( \left[\begin{array}{llll}1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 1 & 1\end{array}\right] \) C. \( {\left[\begin{array}{llll}1 & 2 & 0 & 0 \\ 0 & 0 & 1 & 3 \\ 0 & 0 & 0 & 0\end{array}\right] } \) \( D \) \( {\left[\begin{array}{llll}1 & 0 & 0 & 1 \\ 0 & 1 & 0 & 3 \\ 0 & 0 & 1 & 5\end{array}\right] } \)